With only the \(\lbrace 0,1,1\rbrace \)  mode, the authors of Ref. [1]} carefully solved the evolution of the BH and the scalar cloud (see Figs. 2 and 5 in Ref. [1]}). With the observation that the BH mass grows over time, their numerical result has four distinct phases, which could be well-understood with the dependence of \(\omega _I\)  on \(M\)  and \(a_*\)  (see Fig. REF ).
